Effective action approach to the dynamical map

TL;DR

This paper introduces a novel way to express the dynamical map of scalar fields using quantum effective action, linking it to topological defects and the least-action principle in quantum field theory.

Contribution

It presents a new formulation of the dynamical map in quantum field theory via the effective action, connecting it to topological defects and established methods.

Findings

New expression of the dynamical map using quantum effective action

Connection established between least-action principle and boson transformation method

Insights into topological defects in quantum field theory

Abstract

The dynamical map represents a fundamental concept in quantum field theory, providing a solution of the field equations in the Fock space of asymptotic fields. In this paper, we show how to express the dynamical map of a scalar field in the language of quantum effective action. This grants us new insights into the study of topological defects in quantum field theory, showing a connection between the usual least-action principle and Umezawa's boson transformation method.